Discussion of: “Nonparametric regression using deep neural networks with ReLU activation function”
关于“使用 ReLU 深度神经网络进行非参数回归”的讨论
We congratulate Johannes Schmidt-Hieber for his elegant and thought-provoking results.His article uses deep-learning-inspired methods in the context of nonparametric regression.Schmidt-Hieber defines a rich class of composition-based functions G(q, d, t, β, K) and a class of sparse multilayer neural networks F(L, p, s, F ).He proves that least squares estimation over the class of sparse neural networks (with suitably chosen architecture (L, p, s, F )) achieves nearly minimax…